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Page "Four color theorem" ¶ 65
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By and using
Suggest the following twenty-first-century amendment: By moving the term `` Republic '' to lower case, substituting the modern phrase, `` move ahead '' for the stodgy `` keep '', and by using the Postmaster's name on every envelope ( in caps, of course, with the `` in spite '' as faded as possible ), the slogan cannot fail.
By using the appropriate version any one of these factors can be determined for any combination of the other three.
By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.
By 1827 Laplace was using least
By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.
By night, an aardwolf can consume up to 200, 000 harvester termites using its sticky, long tongue.
By using the palette to mask the top area of the display and taking care about when it changes mode it can shift the continuous graphics at the bottom of the display down in two pixel increments because the internal display counter is not incremented on blank scanlines during non-continuous graphics modes.
By using the formula
By the Roman period brass was being deliberately produced from metallic copper and zinc minerals using the cementation process and variations on this method continued until the mid 19th century.
By comparison to biotechnology, bioengineering is generally thought of as a related field with its emphasis more on higher systems approaches ( not necessarily altering or using biological materials directly ) for interfacing with and utilizing living things.
By the late 1920s, New York writers other than Fitz Gerald were starting to use " Big Apple " and were using it outside of a horse-racing context.
By the mid-1980s at least 500 courses in business ethics reached 40, 000 students, using some twenty textbooks and at least ten casebooks along supported by professional societies, centers and journals of business ethics.
By 1000 BC ancient civilizations were using technologies that formed the basis of the various branches of chemistry such as ; extracting metal from their ores, making pottery and glazes, fermenting beer and wine, making pigments for cosmetics and painting, extracting chemicals from plants for medicine and perfume, making cheese, dying cloth, tanning leather, rendering fat into soap, making glass, and making alloys like bronze.
By using custom formatting and load / save routines ( sometimes included in third-party DOSes, see below ), all of the mechanically possible 40 tracks could be used.
By the early 1990s, the performance of microprocessor-based computers reached the point that real-time generation of computer music using more general programs and algorithms became possible.
By using the commutator as a Lie bracket, every associative algebra can be turned into a Lie algebra.
By a strange twist of their respective fates, this foursome ends up partnering together, using their unique talents to become a ragtag team of bounty hunters, although their fortunes as such are at best mixed.
By 1970, a calculator could be made using just a few chips of low power consumption, allowing portable models powered from rechargeable batteries.
By reducing the number of tracks used ( and thus the capacity ), Commodore could further reduce cost-in contrast to the double-density drives used e. g. in IBM PCs of the day which saved 180 KB on one side ( by using a 40-track format ).
By the time of the Vietnam War, IDs spelled out the broad religious choices such as PROTESTANT and CATHOLIC, rather than using initials, and also began to show individual denominations such as " METHODIST " or " BAPTIST.
By 1695 he was back in England, now formally using the name " Defoe ", and serving as a " commissioner of the glass duty ", responsible for collecting taxes on bottles.
By contrast, non-digital ( or analog ) systems represent information using a continuous function.
By using doublespeak in advertisements, aspirin production rose by almost 50 percent from over 23 million pounds in 1960 to over 35 million pounds in 1970.
By the 12th to 13th centuries A. D., monks were preparing illuminated manuscripts on vellum and parchment in monasteries throughout Europe and were using lead styli to draw lines for their writings and for the outlines for their illuminations.
By direct substitution, the solution to this equation can be readily shown to be the scalar Green's function, which in the spherical coordinate system ( and using the physics time convention ) is:

By and set
By fixing the tax rate in advance of spending, upper limits are set on expenditures.
By such innocent actions are human tragedies sometimes set in motion.
By adding a systematic analysis with symbols to the typed transcripts of interviews, they have supplied a new set of techniques for the therapist.
By and large, Robert McEnroe's adaptation of Maurice Walsh's film, `` The Quiet Man '', provides the entertainment it set out to, and we have a lively musical show if not a superlative one.
By the 27th century BC Egyptian writing had a set of some 24 hieroglyphs which are called uniliterals, to represent syllables that begin with a single consonant of their language, plus a vowel ( or no vowel ) to be supplied by the native speaker.
By taking up on the bow cable the stern anchor can be set.
By 1957, he set this subject aside in order to work in algebraic geometry and homological algebra.
By 16: 00, Alexander and Swiftsure were also in sight, although some distance from the main British fleet, and Brueys gave orders to abandon the plan to remain at anchor and instead for his line to set sails, although Blanquet protested the order on the grounds that there were not enough men aboard the French ships to both sail the ships and man the guns.
By far the most visible and obvious power of many modern central banks is to influence market interest rates ; contrary to popular belief, they rarely " set " rates to a fixed number.
Additional milieu were provided by Chaosium with the release of Dreamlands, a boxed supplement containing additional rules needed for playing within the Lovecraft Dreamlands, a large map and a scenario booklet, and Cthulhu By Gaslight, another boxed set which moved the action from the 1920s to the 1890s.
By definition a set S is countable if there exists an injective function
By the beginning of the Warring States, progress in astronomy and mathematics allowed the creation of calculated calendars ( where intercalary months and days are set by a rule, and not arbitrarily ).
By local coordinates is meant a set of coordinates that travel with the particle,
By August they had captured Stanleyville and set up a rebel government there.
By the 1930s, Ben Duncan and others popularized streamlined trap kits leading to a basic four piece drum set standard: bass, snare, tom-tom, and floor tom.
By the time of the Eighth Doctor audio play Terror Firma ( set after Remembrance ), Davros is commanding a Dalek army which has successfully conquered the Earth.
* 1502 10 July – By a Royal Warrant passed in Toledo by Isabella I of Castile, Gibraltar was granted its coat of arms: " An escutcheon on which the upper two thirds shall be a white field and on the said field set a red castle, and below the said castle, on the other third of the escutcheon, which must be a red field in which there must be a white line between the castle and the said red field, there shall be a golden key which hangs by a chain from the said castle, as are here figured ".
By proving that there are ( infinitely ) many possible sizes for infinite sets, Cantor established that set theory was not trivial, and it needed to be studied.
By taking the intersection of p ( 1 ), p ( 2 ), p ( 3 ),... he formed p ( ω ), and then he noticed that p ( ω ) had a set of limit points p ( ω + 1 ), and so on.
By setting the story in the ruined abbey, Radcliffe was able to use architecture to draw on the aesthetic theories of the time and set the tone of the story in the minds of the reader.
By 2006, such was the confusion from these multiple Acts, each amending the others ( and not all of which were ever actually commenced and thus were in the public record but not enforced as actual legislation ); and the amendments of Irish firearms legislation by other Acts ranging from the Wildlife Acts ( mostly relating to hunting law ) to the Road Traffic Acts ( relating to how and where firearms could be transported ) and others ; the large amount of secondary legislation ( Statutory Instruments, which set out regulations, the design of application forms for licences and so forth, as well as the details of when various parts of the Acts came into force ); as well as the introduction of EU firearms law into the canon of Irish legislation ; led the Irish Law Reform Commission to recommend that all the extant legislation be restated a legal process by which all the existing primary and secondary legislation would be read as one and a single document produced as the new Firearms Act ( and all prior Acts would be repealed ).
By pursuing exclusive publication rights for his own works, he set one of the most important early precedents for regarding music as the intellectual property of the composer.
By the mid-18th century decline had set in because of several economic factors.
* Instruction set reference for 6809 / 6309 ( PDF ) By Chris Lomont

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